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1001002201100 = 2252112630934589
BaseRepresentation
bin11101001000100000110…
…00010111000000001100
310112200202120020111221022
432210100120113000030
5112400023030413400
62043504251053312
7132214524215066
oct16442030270014
93480676214838
101001002201100
11356582712470
12142001741238
1373517ac6845
143663d5a8736
151b08972eb85
hexe91061700c

1001002201100 has 72 divisors (see below), whose sum is σ = 2369803791600. Its totient is φ = 363976441600.

The previous prime is 1001002201063. The next prime is 1001002201103. The reversal of 1001002201100 is 11022001001.

It is not an unprimeable number, because it can be changed into a prime (1001002201103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28922606 + ... + 28957194.

It is an arithmetic number, because the mean of its divisors is an integer number (32913941550).

Almost surely, 21001002201100 is an apocalyptic number.

1001002201100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001002201100 is an abundant number, since it is smaller than the sum of its proper divisors (1368801590500).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1001002201100 is a wasteful number, since it uses less digits than its factorization.

1001002201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60923 (or 60916 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1001002201100 its reverse (11022001001), we get a palindrome (1012024202101).

The spelling of 1001002201100 in words is "one trillion, one billion, two million, two hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 26309 34589 52618 69178 105236 131545 138356 172945 263090 289399 345890 380479 526180 578798 657725 691780 760958 864725 1157596 1315450 1446995 1521916 1729450 1902395 2630900 2893990 3458900 3804790 5787980 7234975 7609580 9511975 14469950 19023950 28939900 38047900 910002001 1820004002 3640008004 4550010005 9100020010 10010022011 18200040020 20020044022 22750050025 40040088044 45500100050 50050110055 91000200100 100100220110 200200440220 250250550275 500501100550 1001002201100